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Finding the Fourth Proportional to 456,525.72, 684,874.64 and 140,908.82

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Solution

The fourth proportional to 456,525.72, 684,874.64 and 140,908.82 is: 211,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,525.72 : 684,874.64 = 140,908.82 : x
  2. Step 2: Convert to fraction form
    456,525.72/684,874.64 = 140,908.82/x
  3. Step 3: Cross multiply
    456,525.72x = 684,874.64 × 140,908.82
  4. Step 4: Simplify right side
    456,525.72x = 96,504,874,298.22
  5. Step 5: Solve for x
    x = 96,504,874,298.22/456,525.72
  6. Step 6: Final answer
    x = 211,389.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.